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So Alpha in this case is better against Alpha, and Beta is better against Beta, but neither dominates each other.
所以对方选α时我应该也选α,她选β我也应该选β,这里没有优势策略
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Because everyone's going to pick the dominant outcome and then everyone's going to get the worst result - the collectively worst result.
因为每个人都会选择优势策略,而导致结果变糟,使总结果变的更糟
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So by thinking about my opponent, by putting myself in my opponent's shoes, I realize that she has a dominant strategy, Alpha.
所以考虑到我的对手,站在她的立场上看,我发现她有一个优势策略α
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On the other hand, we've just argued that you don't have a dominant strategy here; it's not the case that easy dominates hard.
我们刚才说这里没有优势策略,平坦之途并不总是优于崎岖之途
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But let me write that definition again, using or making use of the notation from the class.
但是现在我们用这些符号来,重新作一下优势策略的定义
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Alpha was dominant before--it dominated Beta before-- and it still dominates Beta. Let's just check.
是优势策略,β是劣势策略,在这里α依然优于β,我们来验证下
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Well we start with the ideas we learned already several weeks ago now, or more than a week ago, which is the idea of dominant strategies.
我们可以运用到几周以前,还是一周以前学到的知识,使用优势策略的观点来分析
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The reason I don't want to play a strictly dominated strategy is, if instead, I play the strategy that dominates it, I do better in every case.
我不选择严格劣势策略的原因是,要我选了优势策略,我在每次博弈都得到更好的收益
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We say that my strategy Alpha strictly dominates my strategy Beta, if my payoff from Alpha is strictly greater than that from beta, regardless of what others do."
无论别人怎么选,如果选α得到的结果严格优于β,那么α相对于β是个严格优势策略"
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We had acknowledged that Alpha is a dominant strategy for my opponent so we must choose based upon, or knowing that my partner is going to choose Alpha.
我们发现了α是我们对手的优势策略,所以我们必须要根据,我对手会选α来做出选择
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It's easy to spot when a strategy is dominant, more or less.
找出优势策略很容易
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So rational choice in this case, people not choosing a dominated strategy; people choosing a dominant rational choice can lead to outcomes that - what do Americans call this?--that "Suck."
理性的选择,即本案例中人们不去选择劣势策略,反而选择优势策略,使总结果变得,美国人怎么说的,"糟糕"
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Beta is better against Beta. There's no dominance going on here.
她选β我也应该选β,这次没有优势策略
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It seems as though while you don't have a dominating strategy, it seems like Hannibal is better off attacking through-- It seems like he would attack through the easy pass.
虽然看起来你好像没有优势策略,但似乎汉尼拔将军最好的选择是,他应该会选择从平坦之途入侵
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All right, so this gentleman is saying... There's no dominant strategy so - Right, so this gentleman's saying, a good reason for choosing Alpha in this game is it's less risky.
很好,他说,这里没有优势策略 所以,没错,他说,选α是因为这样做风险更小
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The reason I never want to play a strictly dominated strategy is, if instead I play the strategy that dominates it, whatever anyone else does, I'm doing better than I would have done.
为什么我不选择严格劣势策略,因为我要是选优势策略,不管别人怎么选,我总得到更好的结果
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It's the dominant strategy. Good.
因为它是优势策略
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strictly dominates 1.
策略2严格优势于策略1
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